Modeling and simulating personal finance and financial planning

When does the long term start?

I am working on quantifying objectively after how many years an equity investment (S&P 500) starts behaving differently, i.e. when 'the long term starts'. Indeed the claim that the stock market is an investment for the long term is as common as empirical, robust thresholds for it are rare. 'Recommendations' tend to look something like 'the time horizon for stock investments should be no less than x', where x can be 5 years, 10 years, any number. Read the article "Long-term stock invest­ments should last three decades" (http://ssrn.com/abstract=2739602).

Monte Carlo simulations for financial planning

I also designed and implemented a per­sonal finance simu­lation tool which calculates the long-term evolution of your wealth based on those of your income and expenses. The difference between the two is invested in a stock–bond portfolio and the possible evolution of your wealth is calculated with Monte Carlo simulations (see http://mathieu.bouville.name/en/mathematical-modeling/Monte-Carlo-simulations.html#financial-planning) to then be plotted.

Optimizing stock–bond port­folios

I modeled stock–bond port­folios (github.com/m-bouville/investing-by-numbers), looking for the optimal strategy for long-term investments.